Abstract

Fixed point (especially, the minimum norm fixed point) computation is an interesting
topic due to its practical applications in natural science. The purpose of the
paper is devoted to finding the common fixed points of an infinite family of nonexpansive
mappings. We introduce an iterative algorithm and prove that suggested scheme
converges strongly to the common fixed points of an infinite family of nonexpansive
mappings under some mild conditions. As a special case, we can find the minimum
norm common fixed point of an infinite family of nonexpansive mappings.